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Finding the Fourth Proportional to 1,075.01, 1,611.70 and 458.19

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Solution

The fourth proportional to 1,075.01, 1,611.70 and 458.19 is: 686.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.01 : 1,611.70 = 458.19 : x
  2. Step 2: Convert to fraction form
    1,075.01/1,611.70 = 458.19/x
  3. Step 3: Cross multiply
    1,075.01x = 1,611.70 × 458.19
  4. Step 4: Simplify right side
    1,075.01x = 738,462.53
  5. Step 5: Solve for x
    x = 738,462.53/1,075.01
  6. Step 6: Final answer
    x = 686.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.